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2223414024 = 2331325310343
BaseRepresentation
bin1000010010000110…
…1001101100001000
312201221202010122120
42010201221230020
514023143222044
61004343251240
7106045464426
oct20441515410
95657663576
102223414024
11a41071957
12520749b20
1329583ba00
14171414116
15d02e4519
hex84869b08

2223414024 has 96 divisors (see below), whose sum is σ = 6133164480. Its totient is φ = 671154432.

The previous prime is 2223413987. The next prime is 2223414047. The reversal of 2223414024 is 4204143222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2223413985 and 2223414003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209797 + ... + 220139.

It is an arithmetic number, because the mean of its divisors is an integer number (63887130).

Almost surely, 22223414024 is an apocalyptic number.

2223414024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223414024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066582240).

2223414024 is an abundant number, since it is smaller than the sum of its proper divisors (3909750456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2223414024 is a wasteful number, since it uses less digits than its factorization.

2223414024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10431 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2223414024 is about 47153.0913514692. The cubic root of 2223414024 is about 1305.1891260079.

Adding to 2223414024 its reverse (4204143222), we get a palindrome (6427557246).

The spelling of 2223414024 in words is "two billion, two hundred twenty-three million, four hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 169 212 312 318 338 424 507 636 676 689 1014 1272 1352 1378 2028 2067 2756 4056 4134 5512 8268 8957 10343 16536 17914 20686 26871 31029 35828 41372 53742 62058 71656 82744 107484 124116 134459 214968 248232 268918 403377 537836 548179 806754 1075672 1096358 1613508 1644537 1747967 2192716 3227016 3289074 3495934 4385432 5243901 6578148 6991868 7126327 10487802 13156296 13983736 14252654 20975604 21378981 28505308 41951208 42757962 57010616 85515924 92642251 171031848 185284502 277926753 370569004 555853506 741138008 1111707012 2223414024